TSTP Solution File: CSR147+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : CSR147+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n029.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Aug 22 10:36:45 EDT 2023

% Result   : Theorem 2.82s 1.78s
% Output   : CNFRefutation 3.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   33 (  15 unt;  13 typ;   0 def)
%            Number of atoms       :   39 (   2 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :   33 (  14   ~;  15   |;   2   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (   7   >;   4   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-1 aty)
%            Number of variables   :    7 (;   7   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ s__more_experienced > s__has_seen_more > s__age > greater > s__LivingThing > s__Human > #nlpp > s__siblingFn > n54 > n48 > jim > geoff > #skF_2 > #skF_1

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(greater,type,
    greater: ( $i * $i ) > $o ).

tff(geoff,type,
    geoff: $i ).

tff(s__more_experienced,type,
    s__more_experienced: ( $i * $i ) > $o ).

tff(jim,type,
    jim: $i ).

tff(n54,type,
    n54: $i ).

tff(s__has_seen_more,type,
    s__has_seen_more: ( $i * $i ) > $o ).

tff(n48,type,
    n48: $i ).

tff('#skF_2',type,
    '#skF_2': $i ).

tff('#skF_1',type,
    '#skF_1': $i ).

tff(s__LivingThing,type,
    s__LivingThing: $i > $o ).

tff(s__siblingFn,type,
    s__siblingFn: $i > $i ).

tff(s__Human,type,
    s__Human: $i > $o ).

tff(s__age,type,
    s__age: ( $i * $i ) > $o ).

tff(f_67,negated_conjecture,
    ~ s__more_experienced(jim,geoff),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',jim_is_experienced) ).

tff(f_65,axiom,
    ~ s__has_seen_more(geoff,jim),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',jim_has_seen_more) ).

tff(f_35,axiom,
    s__Human(jim),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',jim_human) ).

tff(f_61,axiom,
    s__age(jim,n54),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',jim_54) ).

tff(f_60,axiom,
    s__age(geoff,n48),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',geoff_48) ).

tff(f_63,axiom,
    geoff = s__siblingFn(jim),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',geoff_and_jim) ).

tff(f_62,axiom,
    greater(n54,n48),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',greater_54_48) ).

tff(f_51,axiom,
    ! [O,OAge,YAge] :
      ( s__Human(O)
     => ( ( s__age(O,OAge)
          & s__age(s__siblingFn(O),YAge)
          & greater(OAge,YAge) )
       => ( s__more_experienced(O,s__siblingFn(O))
          | s__has_seen_more(s__siblingFn(O),O) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',experience) ).

tff(c_28,plain,
    ~ s__more_experienced(jim,geoff),
    inference(cnfTransformation,[status(thm)],[f_67]) ).

tff(c_26,plain,
    ~ s__has_seen_more(geoff,jim),
    inference(cnfTransformation,[status(thm)],[f_65]) ).

tff(c_10,plain,
    s__Human(jim),
    inference(cnfTransformation,[status(thm)],[f_35]) ).

tff(c_20,plain,
    s__age(jim,n54),
    inference(cnfTransformation,[status(thm)],[f_61]) ).

tff(c_18,plain,
    s__age(geoff,n48),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_24,plain,
    s__siblingFn(jim) = geoff,
    inference(cnfTransformation,[status(thm)],[f_63]) ).

tff(c_22,plain,
    greater(n54,n48),
    inference(cnfTransformation,[status(thm)],[f_62]) ).

tff(c_94,plain,
    ! [O_12,OAge_13,YAge_14] :
      ( s__has_seen_more(s__siblingFn(O_12),O_12)
      | s__more_experienced(O_12,s__siblingFn(O_12))
      | ~ greater(OAge_13,YAge_14)
      | ~ s__age(s__siblingFn(O_12),YAge_14)
      | ~ s__age(O_12,OAge_13)
      | ~ s__Human(O_12) ),
    inference(cnfTransformation,[status(thm)],[f_51]) ).

tff(c_98,plain,
    ! [O_15] :
      ( s__has_seen_more(s__siblingFn(O_15),O_15)
      | s__more_experienced(O_15,s__siblingFn(O_15))
      | ~ s__age(s__siblingFn(O_15),n48)
      | ~ s__age(O_15,n54)
      | ~ s__Human(O_15) ),
    inference(resolution,[status(thm)],[c_22,c_94]) ).

tff(c_107,plain,
    ( s__has_seen_more(s__siblingFn(jim),jim)
    | s__more_experienced(jim,geoff)
    | ~ s__age(s__siblingFn(jim),n48)
    | ~ s__age(jim,n54)
    | ~ s__Human(jim) ),
    inference(superposition,[status(thm),theory(equality)],[c_24,c_98]) ).

tff(c_111,plain,
    ( s__has_seen_more(geoff,jim)
    | s__more_experienced(jim,geoff) ),
    inference(demodulation,[status(thm),theory(equality)],[c_10,c_20,c_18,c_24,c_24,c_107]) ).

tff(c_113,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_28,c_26,c_111]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : CSR147+1 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.13  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.34  % Computer : n029.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Thu Aug  3 21:00:07 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 2.82/1.78  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.82/1.78  
% 2.82/1.78  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.07/1.81  
% 3.07/1.81  Inference rules
% 3.07/1.81  ----------------------
% 3.07/1.81  #Ref     : 0
% 3.07/1.81  #Sup     : 20
% 3.07/1.81  #Fact    : 0
% 3.07/1.81  #Define  : 0
% 3.07/1.81  #Split   : 0
% 3.07/1.81  #Chain   : 0
% 3.07/1.81  #Close   : 0
% 3.07/1.81  
% 3.07/1.81  Ordering : KBO
% 3.07/1.81  
% 3.07/1.81  Simplification rules
% 3.07/1.81  ----------------------
% 3.07/1.81  #Subsume      : 1
% 3.07/1.81  #Demod        : 23
% 3.07/1.81  #Tautology    : 14
% 3.07/1.81  #SimpNegUnit  : 1
% 3.07/1.81  #BackRed      : 0
% 3.07/1.81  
% 3.07/1.81  #Partial instantiations: 0
% 3.07/1.81  #Strategies tried      : 1
% 3.07/1.81  
% 3.07/1.81  Timing (in seconds)
% 3.07/1.81  ----------------------
% 3.09/1.81  Preprocessing        : 0.47
% 3.09/1.81  Parsing              : 0.25
% 3.09/1.81  CNF conversion       : 0.03
% 3.09/1.81  Main loop            : 0.21
% 3.09/1.81  Inferencing          : 0.09
% 3.09/1.81  Reduction            : 0.06
% 3.09/1.81  Demodulation         : 0.04
% 3.09/1.81  BG Simplification    : 0.01
% 3.09/1.81  Subsumption          : 0.04
% 3.09/1.81  Abstraction          : 0.01
% 3.09/1.81  MUC search           : 0.00
% 3.09/1.81  Cooper               : 0.00
% 3.09/1.81  Total                : 0.73
% 3.09/1.81  Index Insertion      : 0.00
% 3.09/1.81  Index Deletion       : 0.00
% 3.09/1.81  Index Matching       : 0.00
% 3.09/1.81  BG Taut test         : 0.00
%------------------------------------------------------------------------------